Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism. It is given the volume of the composite solid is 444cm³. Calculate the length, in cm of MN
Answer:
MN = 7 cm
Step-by-step explanation:
Well the volume we can separate into pieces
first the ABCDEFGH (? you know this cuboid)
which has a volume of
[tex]V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)[/tex]
if you ask where does the 4 come from
it comes from LP = KB = YC and JY + YC =JC
so
[tex]V = 18(7+MX)[/tex]
this is because JY = MX
the other volume is of BCNPKLXY (hope you understand which one)
and the volume is
[tex]V = BP*PN*NX\\\\V=8*6*4\\\\V = 192[/tex]
and the last one is KYXLMJ (the top "triangle")
the volume is
[tex]V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX[/tex]
so now add them up
and has to equal 444
[tex]V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3[/tex]
and finally we know that MN = MX + XN = 3+4 = 7
so here is our answer MN = 7 cm
a couple of notes
[tex]1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90[/tex]
3. the units don't matter due to the fact that everything is in cm
4. see the picture below to get a better idea of which prism I am talking of
5. tell me if you have questions :D
helpp this is characteristics of quadratic functions
Answer:
Vertex: (-2,16)
AOS: 16
Max or Min: Max
X intercepts: (-6,0) (2,0)
Y intercept: (0,12)
Step-by-step explanation:
need help asap
Katherine was out at a restaurant for dinner when the bill came. Her dinner came to $22. After adding in a tip, before tax, she paid $28.38. Find the percent tip.
Answer:
my name is katherine....
Step-by-step explanation:
its also 29% ^^
Find the value of the expression 9 4/9 ÷ q for q = 2 2/9 Write your answer as a fraction or as a whole or mixed number.
Answer:
Explain everything. Imagine that the person who was asking, knows nothing at all so you need to start from the very beginning. i dont know
Step-by-step explanation:
You are buying ribbon to make costumes for a school play. Organza ribbon costs $.07 per yard. Satin ribbon costs $.04 per yard. Write an equation to model the possible combinations of yards of organza ribbon and yards of satin ribbon you can buy for $5. List several possible combinations.
Answer:
Let's define the variables:
x = yards of Organza ribbon that you buy.
y = yards of Satin ribbon that you buy.
We know that the price per yard of Organza ribbon is $0.07, this means tat if you buy x yards, the cost will be:
C = x*$0.07
And the cost of the Satin ribbon is $0.04, so if you buy y yards of that ribbon, the cost will be:
C = y*$0.04
Adding that together, the total cost is:
C = x*$0.07 + y*$0.04
Now we know that you pay $5, this means that the total cost is exactly $5, then we have the equation:
$5 = x*$0.07 + y*$0.04
Now we can isolate the variable y to get:
y = ($5/$0.04) - x*($0.07/$0.04)
y = 125 - x*1.75
Now we can just input different values of x to find the correspondent value of y.
This means that:
if x = 0 (0 yards of the Organza ribbon)
then:
y = 125 - 0*1.75 = 0
This combination is:
0 yards of organza, and 125 yards of satin.
Now, if x = 20, then:
y = 125 - 20*1.75 = 90
This combination is:
20 yards of organza, and 90 yards of satin.
if x = 40, then:
y = 125 - 40*1.75 = 55
This combination is:
40 yards of organza, and 55 yards of satin.
The 3 combinations that we found cost exactly $5.
A library has 8,629 children's books. The librariary is ordering new shelves that each
hold 1,000 books. He rounded the number of books to the nearest thousand to find how
many shelves to order. Which is the founded number the librarian used?
can you help me with this
Answer:
c
Step-by-step explanation:
c is just an expression it doesnt have an inequality
Consider the two expressions. Expression 1 Expression 2 9x+x 2(5x) Which statement is true? Expression 1 is equivalent to Expression 2 because the two expressions have the same amount of terms. Expression 1 is equivalent to Expression 2 because the two expressions have the same amount of terms. Expression 1 is equivalent to Expression 2 because the two expressions have the same value regardless of which value is substituted into them. Expression 1 is equivalent to Expression 2 because the two expressions have the same value regardless of which value is substituted into them. Expression 1 is not equivalent to Expression 2 because the two expressions do not have the same number of variables. Expression 1 is not equivalent to Expression 2 because the two expressions do not have the same number of variables. Expression 1 is not equivalent to Expression 2 because the two expressions do not simplify to equivalent expressions. Expression 1 is not equivalent to Expression 2 because the two expressions do no
help plase please pleaseeeee
Answer:
h=9.0991 ≈ 9.1
Step-by-step explanation:
V=π r²h
1400=3.14 (7)²h
1400=153.86 h
h=9.0991 ≈ 9.1
i need the answer asap
Answer:What the question?
Step-by-step explanation:
Answer:
U didn't ask a question lollz
Step-by-step explanation:
33.2 x 55
please answer fast I will mark brain
Answer:
1826
Step-by-step explanation:
Answer:
1826
Step-by-step explanation:
your welcome
y - 7 = 21 Your answer should be the value for the variable y.
Answer:
28 would be the answer
Step-by-step explanation:
because 21+7= 28
HELP ASAP PLS. Analyze the reflectional symmetry of the image.
How many lines of symmetry does this image have?
0
1
2
4
Answer:
2
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
truss
always, sometimes, or never.
in an isosceles right triangle, the ratio of the measure of the angles is 1:1:2
Sushil was thinking of a number. Sushil doubles it, then adds 20 to get an answer of 25.7. What was the original number?
Answer:
2.85
Step-by-step explanation:
2x+20=25.7
2x+20-20=25.7-20
2x=5.7
2x/2=5.7/2
x=2.85
please HELP me!
What is the solution to the system of equations?
Answer: (9,7)
Step-by-step explanation:
Calculate and express your answer in Decimal from 1/2×17
Answer:
8.5
Step-by-step explanation:
Simplify this expression
2 x x x 3 x y
(The 2nd ‘x’ is algebra)
Answer:
the answer is. .6xy..........
Answer:
6xy
Step-by-step explanation:
What is the slope of the line shown below?
Answer:
B. 4
Step-by-step explanation:
Slope = (-2-6)/1-3) = = - 8/ - 2 = 4
Answer:
C. 4
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
slope = (-2 - 6)/(1 - 3)
slope = -8/(-2
slope = 4
I need help on this problem!
Answer: its the first one and the one before the last!
Step-by-step explanation: Hope this helps!!!
Answer:
I think the second one
Can someone help me please
Answer:
3^12
Step-by-step explanation:
when a power is to the power, you multiply the exponents
QUESTION 2
If you do the VERTICAL LINE TEST on a graph, and the vertical line hits the graph in two places at the same time, then it passes the test and it IS a function
Ο True
O False
Answer:
false
Step-by-step explanation:
the vertical line test must only pass through one point for the graph to be a function.
can u plz answer this? its for my sister
Answer:
p= 4y+15
Step-by-step explanation:
Thanks me later
Marks as brainlist if you like my work
david earns $1.50 per hour more than peter. together, they earn $940 if they both work 40 hours in a week. how much money per hour do david and peter earn?
Answer:
469.25
Step-by-step explanation:
peter=x
david=x+1.50
x+(x+1.50)=940
x=940-x-1.50
2x=940-1.50
2x=938.5
x=938.5/2
x=469.25
Carson invested $2,700 in an account paying an interest rate of 1.6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest cent, would be in the account after 5 years?
Answer:
its not right
Step-by-step explanation:
Answer:
2924.88
Step-by-step explanation:
what is 4 to the 7th power
Answer:
16384
Step-by-step explanation:
The solution for 4 to the 7th power can be expressed as 16,384.
What is 4 to the 7th power?To calculate 4 to the 7th power, we need to multiply 4 by itself seven times. Let's break it down step by step:
4¹ = 4 {4 to the power of 1}
4² = 4 x 4 = 16 {4 to the power of }
4³ = 16 x 4 = 64 {4 to the power of 3}
4⁴ = 64 x 4 = 256 {4 to the power of 4}
4⁵ = 256 x 4 = 1024 {4 to the power of 5}
4⁶ = 1024 x 4 = 4096 {4 to the power of 6}
4⁷ = 4096 x 4 = 16384 {4 to the power of 7}
Therefore, 4 to the 7th power has a solution equal to 16,384.
Read more about power here: https://brainly.com/question/29288036
#SPJ6
Mrs. Andrews has 10 pink and 7 orange markers. Which ratio compares the number of pink markers to the number of orange markers?
Answer:
7/10
Step-by-step explanation:
The ratio 10:7 represents the number of pink markers to the number of orange markers.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Total number of pink Mrs. Andrews has = 10
Total number of orange Mrs. Andrews has = 7
The ratio of number of pink markers to the number of orange markers:
= 10:7
Thus, the ratio 10:7 represents the number of pink markers to the number of orange markers.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
What is 28% of 76.
Answer:
21.28
Step-by-step explanation:
A line, L, has the equation y = 5x – 1.
Write down the gradient of line L.
Answer:
5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
y = 5x - 1 ← is in slope- intercept form
with gradient = 5
Somebody help please!!!
Answer: x=26
Step-by-step explanation: